On 6/22/11 8:21 AM, Daniel Bump wrote:

While checking tracker tickets, it seems that nobody is working on the
littelmann path model for crystals right now... Still someone wrote
this as "todo" in 
http://www.sagemath.org/doc/reference/sage/combinat/crystals/highest_weight_crystals.html

Can you provide me with more information as who might have written
this / have the project of writing a module supporting the Littelmann
path model? Status?

There is a module for alcove path model of Lenart and Postnikov
in combinat.crystals.alcove_path.py. My impression is that this
is equivalent to Littelmann path method but less complex
to implement.

Is that correct?

Yes, I think the alcove path model is less complex to implement;
Brant Jones implemented it for classical types. As far as I remember
a student of Cristian Lenart was thinking of generalizing this to
affine types at the Sage Days in Toronto last year. Cristian, can you
confirm this?

Anne

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